Teaching MPPSC Assistant Professor Mock Test Series 2025 Physical Sciences Mathematical Methods of Physics
Consider the set of polynomials {x(t) = a0 + a1t + ··· + an-1 tn-1} in t of degree less than n, such that x(0) = 0 and x(1) = 1. This set
1
constitutes a vector space of dimension n
2
constitutes a vector space of dimension n − 1
3
constitutes a vector space of dimension n - 2
4
does not constitute a vector space